1
GATE IN 2007
MCQ (Single Correct Answer)
+1
-0.3
Assume that the duration in minutes of a telephone conversation follows the exponential distribution $$\,f\left( x \right) = {1 \over 5}{e^{ - x/5}},\,x \ge 0.\,\,\,$$ The probability that the conversation will exceed five minutes is
A
$${1 \over e}$$
B
$$1 - {1 \over e}$$
C
$${1 \over {{e^2}}}$$
D
$$1 - {1 \over {{e^2}}}$$
2
GATE IN 2005
MCQ (Single Correct Answer)
+1
-0.3
The probability that there are $$53$$ Sundays in a randomly chosen leap year is
A
$${1 \over 7}$$
B
$${1 \over 14}$$
C
$${1 \over 28}$$
D
$${2 \over 7}$$
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